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Finding the Third Proportional to 63,546,069,465 and 138,261,962,493

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Solution

The third proportional to 63,546,069,465 and 138,261,962,493 is: 300,826,950,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546,069,465 : 138,261,962,493 = 138,261,962,493 : x
  2. Step 2: Convert to fraction form
    63,546,069,465/138,261,962,493 = 138,261,962,493/x
  3. Step 3: Cross multiply
    63,546,069,465x = 138,261,962,493 × 138,261,962,493
  4. Step 4: Simplify right side
    63,546,069,465x = 19,116,370,272,415,740,067,840
  5. Step 5: Solve for x
    x = 19,116,370,272,415,740,067,840/63,546,069,465
  6. Step 6: Final answer
    x = 300,826,950,169.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.